101442345660 has 288 divisors, whose sum is σ = 319374461952. Its totient is φ = 26048217600.

The previous prime is 101442345659. The next prime is 101442345689. The reversal of 101442345660 is 66543244101.

101442345660 is a `hidden beast` number, since 1 + 0 + 144 + 2 + 3 + 456 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193962159 + ... + 193962681.

It is an arithmetic number, because the mean of its divisors is an integer number (1108939104).

Almost surely, 2^101442345660 is an apocalyptic number.

101442345660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101442345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159687230976).

101442345660 is an abundant number, since it is smaller than the sum of its proper divisors (217932116292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101442345660 is a wasteful number, since it uses less digits than its factorization.

101442345660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 101442345660 its reverse (66543244101), we get a palindrome (167985589761).

The spelling of 101442345660 in words is "one hundred one billion, four hundred forty-two million, three hundred forty-five thousand, six hundred sixty".